I used to watch "In Search Of" religiously when it was on. I remember one time they did a show on the Mary Celeste; they included the lurid report that one of the "official" investigators had written, in which he claimed all kinds of violence and mayhem had occurred and everyone had killed everyone else, just by virtue of what he thought was a small bloodstain on the rail and a few items being scattered here and there (the "bloodstain" was, in all liklihood as the thinking is now, not a bloodstain at all, but something much more innocuous).
In Search Of re-enacted its own theory of what may have happened, making it clear that it was just a theory based on all known current evidence and certainly not to be taken as factual. Their experts thought that there may have been problems with the raw alcohol on board the ship, and that it may have given off fumes that smelled as if fire was going to break out and the ship was going to explode. So, they may have all piled into the rafts that were on board the ship for emergencies and paddled away from it to get away as quickly as they could have. Being without much food and water, and having left the ship so quickly that they likely didn't have time to grab any other needed supplies, they likely didn't last too long after that and they probably didn't find any land in time. Who knows, it's certainly possible. We'll never know for sure.